COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135729458
Author: Bennett
Publisher: PEARSON
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Chapter 4, Problem 9EAP
To determine
To explain:
The universal law of gravitation.
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
Chapter 4 Solutions
COSMIC PERSPECTIVE
Ch. 4 - Prob. 1VSCCh. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Use the following questions to check your...Ch. 4 - Define speed, velocity, and acceleration. What are...Ch. 4 - Define momentum and force. What do we mean when we...Ch. 4 - What is free-fall, and why does it make you...Ch. 4 - Prob. 4EAPCh. 4 - Describe the laws of conservation of momentum, of...
Ch. 4 - Define kinetic energy, radiative energy, and...Ch. 4 - Define temperature and thermal energy. How are...Ch. 4 - Prob. 8EAPCh. 4 - 9. Summarize the universal law of gravitation both...Ch. 4 - 10. What is the difference between a bound and an...Ch. 4 - What do we need to know if we want to measure an...Ch. 4 - Explain why orbits cannot change spontaneously,...Ch. 4 - Explain how the Moon creates tides on Earth. Why...Ch. 4 - What is tidal friction? What effects does it have...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Prob. 19EAPCh. 4 - Prob. 20EAPCh. 4 - Does It Make Sense? Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Does It Make Sense?
Decide whether the statement...Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Prob. 30EAPCh. 4 - Prob. 31EAPCh. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Choose the best answer to each of the following....Ch. 4 - Prob. 35EAPCh. 4 - Testing Gravity. Scientists are continually trying...Ch. 4 - Prob. 38EAPCh. 4 - Prob. 39EAPCh. 4 - Prob. 40EAPCh. 4 - Weightlessness. Astronauts are weightless when in...Ch. 4 - Units of Acceleration. If you drop a rock from a...Ch. 4 - Gravitational Potential Energy. For each of the...Ch. 4 - Prob. 44EAPCh. 4 - The Gravitational Law. How does quadrupling the...Ch. 4 - Allowable Orbits? Suppose the Sun were replaced by...Ch. 4 - Head-to-Foot Tides. You and Earth attract each...Ch. 4 - Prob. 48EAPCh. 4 - Geostationary Orbit. A satellite in geostationary...Ch. 4 - Prob. 51EAPCh. 4 - Prob. 52EAPCh. 4 - Moving Candy Bar. Table 4.1 shows that...Ch. 4 - Spontaneous Human Combustion. Suppose that all the...Ch. 4 - Fusion Power. No one has yet succeeded in creating...Ch. 4 - Understanding Newton’s Version of Kepler’s Third...Ch. 4 - Using Newton’s Version of Kepler’s Third Law....Ch. 4 - Escape Velocity. Calculate the escape velocity...Ch. 4 - Weights on Other Worlds. Calculate the...Ch. 4 - Prob. 60EAPCh. 4 - Extra Moon. Suppose Earth had a second moon,...
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